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Finding the Fourth Proportional to 430,321.77, 644,808.02 and 272,216.25

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Solution

The fourth proportional to 430,321.77, 644,808.02 and 272,216.25 is: 407,897.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,321.77 : 644,808.02 = 272,216.25 : x
  2. Step 2: Convert to fraction form
    430,321.77/644,808.02 = 272,216.25/x
  3. Step 3: Cross multiply
    430,321.77x = 644,808.02 × 272,216.25
  4. Step 4: Simplify right side
    430,321.77x = 175,527,219,813.24
  5. Step 5: Solve for x
    x = 175,527,219,813.24/430,321.77
  6. Step 6: Final answer
    x = 407,897.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.